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Simplifying 5(2x + -3) + -8 + -3(2x + -5) = 6(2x + -3) + 4 Reorder the terms: 5(-3 + 2x) + -8 + -3(2x + -5) = 6(2x + -3) + 4 (-3 * 5 + 2x * 5) + -8 + -3(2x + -5) = 6(2x + -3) + 4 (-15 + 10x) + -8 + -3(2x + -5) = 6(2x + -3) + 4 Reorder the terms: -15 + 10x + -8 + -3(-5 + 2x) = 6(2x + -3) + 4 -15 + 10x + -8 + (-5 * -3 + 2x * -3) = 6(2x + -3) + 4 -15 + 10x + -8 + (15 + -6x) = 6(2x + -3) + 4 Reorder the terms: -15 + -8 + 15 + 10x + -6x = 6(2x + -3) + 4 Combine like terms: -15 + -8 = -23 -23 + 15 + 10x + -6x = 6(2x + -3) + 4 Combine like terms: -23 + 15 = -8 -8 + 10x + -6x = 6(2x + -3) + 4 Combine like terms: 10x + -6x = 4x -8 + 4x = 6(2x + -3) + 4 Reorder the terms: -8 + 4x = 6(-3 + 2x) + 4 -8 + 4x = (-3 * 6 + 2x * 6) + 4 -8 + 4x = (-18 + 12x) + 4 Reorder the terms: -8 + 4x = -18 + 4 + 12x Combine like terms: -18 + 4 = -14 -8 + 4x = -14 + 12x Solving -8 + 4x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 4x + -12x = -14 + 12x + -12x Combine like terms: 4x + -12x = -8x -8 + -8x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -8x = -14 + 0 -8 + -8x = -14 Add '8' to each side of the equation. -8 + 8 + -8x = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = -14 + 8 -8x = -14 + 8 Combine like terms: -14 + 8 = -6 -8x = -6 Divide each side by '-8'. x = 0.75 Simplifying x = 0.75
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